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Nonlinear problems in geometry
 
Edited by: Dennis DeTurck
Nonlinear problems in geometry
eBook ISBN:  978-0-8218-7636-7
Product Code:  CONM/51.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Nonlinear problems in geometry
Click above image for expanded view
Nonlinear problems in geometry
Edited by: Dennis DeTurck
eBook ISBN:  978-0-8218-7636-7
Product Code:  CONM/51.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 511986; 130 pp
    MSC: Primary 53; Secondary 58

    This book features current work in a broad area of modern geometric analysis. The contributors represent a cross-section of researchers working in areas of interaction between analytic methods and geometric problems. The scope of their concerns is broad, but three areas are treated in depth by several authors: scalar curvature on complete manifolds, spectral geometry, and curvature tensor realization.

    The papers are aimed primarily at researchers studying differential equations on manifolds, though many of the papers address a more general audience as well. The background required consists of basic training in and an appreciation of the problems of modern differential geometry; experience with partial differential equations would be helpful as well.

  • Table of Contents
     
     
    • Articles
    • Alfred Baldes — Nonexistence of Riemannian metrics with prescribed Ricci tensor [ MR 848927 ]
    • Gérard Besson — On symmetrization [ MR 848928 ]
    • D. E. Blair and S. Ianuş — Critical associated metrics on symplectic manifolds [ MR 848929 ]
    • J. Bland and M. Kalka — Complete metrics of negative scalar curvature on noncompact manifolds [ MR 848930 ]
    • Dennis DeTurck and Deane Yang — Local existence of smooth metrics with prescribed curvature [ MR 848931 ]
    • Charles L. Epstein — Visibility of the Martin boundary for quasiconformal metrics on $D_1$ [ MR 848932 ]
    • Michael Gage — On an area-preserving evolution equation for plane curves [ MR 848933 ]
    • Carolyn S. Gordon — The Laplace spectra versus the length spectra of Riemannian manifolds [ MR 848934 ]
    • R. J. Knill, A. P. Whitman and W. R. Stoeger — The decomposition and superposition of rank-one gravitational potential tensors [ MR 848935 ]
    • Robert C. McOwen — Negative curvature and conformal deformations of complete manifolds [ MR 848936 ]
    • Min-Oo Maung — Spectral rigidity for manifolds with negative curvature operator [ MR 848937 ]
    • Vladimir I. Oliker — Three problems in nonlinear differential geometry [ MR 848938 ]
    • Al Vitter — Self-dual Einstein metrics [ MR 848939 ]
    • Steven Wilkinson — Exterior differential systems and the problem of characterizing Gauss maps [ MR 848940 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 511986; 130 pp
MSC: Primary 53; Secondary 58

This book features current work in a broad area of modern geometric analysis. The contributors represent a cross-section of researchers working in areas of interaction between analytic methods and geometric problems. The scope of their concerns is broad, but three areas are treated in depth by several authors: scalar curvature on complete manifolds, spectral geometry, and curvature tensor realization.

The papers are aimed primarily at researchers studying differential equations on manifolds, though many of the papers address a more general audience as well. The background required consists of basic training in and an appreciation of the problems of modern differential geometry; experience with partial differential equations would be helpful as well.

  • Articles
  • Alfred Baldes — Nonexistence of Riemannian metrics with prescribed Ricci tensor [ MR 848927 ]
  • Gérard Besson — On symmetrization [ MR 848928 ]
  • D. E. Blair and S. Ianuş — Critical associated metrics on symplectic manifolds [ MR 848929 ]
  • J. Bland and M. Kalka — Complete metrics of negative scalar curvature on noncompact manifolds [ MR 848930 ]
  • Dennis DeTurck and Deane Yang — Local existence of smooth metrics with prescribed curvature [ MR 848931 ]
  • Charles L. Epstein — Visibility of the Martin boundary for quasiconformal metrics on $D_1$ [ MR 848932 ]
  • Michael Gage — On an area-preserving evolution equation for plane curves [ MR 848933 ]
  • Carolyn S. Gordon — The Laplace spectra versus the length spectra of Riemannian manifolds [ MR 848934 ]
  • R. J. Knill, A. P. Whitman and W. R. Stoeger — The decomposition and superposition of rank-one gravitational potential tensors [ MR 848935 ]
  • Robert C. McOwen — Negative curvature and conformal deformations of complete manifolds [ MR 848936 ]
  • Min-Oo Maung — Spectral rigidity for manifolds with negative curvature operator [ MR 848937 ]
  • Vladimir I. Oliker — Three problems in nonlinear differential geometry [ MR 848938 ]
  • Al Vitter — Self-dual Einstein metrics [ MR 848939 ]
  • Steven Wilkinson — Exterior differential systems and the problem of characterizing Gauss maps [ MR 848940 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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